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The diagram above shows all the possible pairs among 5 cats that were

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The diagram above shows all the possible pairs among 5 cats that were  [#permalink]

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New post 13 Jul 2018, 09:07
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The diagram above shows all the possible pairs among 5 cats that were marked 1, 2, 3, 4 or 5. If the diagram were extended so as to represent 9 cats, how many different pairs would the diagram show then?

A) 18
B) 36
C) 41
D) 45
E) 72

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Re: The diagram above shows all the possible pairs among 5 cats that were  [#permalink]

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New post 13 Jul 2018, 09:20
gmatbusters wrote:
Attachment:
gmatbusters (2).jpg
The diagram above shows all the possible pairs among 5 cats that were marked 1, 2, 3, 4 or 5. If the diagram were extended so as to represent 9 cats, how many different pairs would the diagram show then?

A) 18
B) 36
C) 41
D) 45
E) 72



This is nothing but choosing 2 out of the total...

choosing 2 out of 5 = \(5C2=5*2=10\)
so choosing 2 out of 9 = \(9C2=\frac{9*8}{2}=36\)
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: The diagram above shows all the possible pairs among 5 cats that were &nbs [#permalink] 13 Jul 2018, 09:20
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